(3/7x-5/6)*12/13=21/2 eching

$$( \frac{ 3 }{ 7 } x- \frac{ 5 }{ 6 } ) \times 1 \frac{ 2 }{ 13 } =2 \frac{ 1 }{ 2 }$$

x uchun yechish

$$x=7$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 546 ga, 7,6,13,2 ning eng kichik karralisiga ko‘paytiring.

$$42\left(\frac{3}{7}x-\frac{5}{6}\right)\left(1\times 13+2\right)=273\left(2\times 2+1\right)$$

13 hosil qilish uchun 1 va 13 ni ko'paytirish.

$$42\left(\frac{3}{7}x-\frac{5}{6}\right)\left(13+2\right)=273\left(2\times 2+1\right)$$

15 olish uchun 13 va 2'ni qo'shing.

$$42\left(\frac{3}{7}x-\frac{5}{6}\right)\times 15=273\left(2\times 2+1\right)$$

630 hosil qilish uchun 42 va 15 ni ko'paytirish.

$$630\left(\frac{3}{7}x-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

630 ga \frac{3}{7}x-\frac{5}{6} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$630\times \frac{3}{7}x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

630\times \frac{3}{7} ni yagona kasrga aylantiring.

$$\frac{630\times 3}{7}x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

1890 hosil qilish uchun 630 va 3 ni ko'paytirish.

$$\frac{1890}{7}x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

270 ni olish uchun 1890 ni 7 ga bo‘ling.

$$270x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

630\left(-\frac{5}{6}\right) ni yagona kasrga aylantiring.

$$270x+\frac{630\left(-5\right)}{6}=273\left(2\times 2+1\right)$$

-3150 hosil qilish uchun 630 va -5 ni ko'paytirish.

$$270x+\frac{-3150}{6}=273\left(2\times 2+1\right)$$

-525 ni olish uchun -3150 ni 6 ga bo‘ling.

$$270x-525=273\left(2\times 2+1\right)$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$270x-525=273\left(4+1\right)$$

5 olish uchun 4 va 1'ni qo'shing.

$$270x-525=273\times 5$$

1365 hosil qilish uchun 273 va 5 ni ko'paytirish.

$$270x-525=1365$$

525 ni ikki tarafga qo’shing.

$$270x=1365+525$$

1890 olish uchun 1365 va 525'ni qo'shing.

$$270x=1890$$

Ikki tarafini 270 ga bo‘ling.

$$x=\frac{1890}{270}$$

7 ni olish uchun 1890 ni 270 ga bo‘ling.

$$x=7$$